Algebra I: Writing Linear Equations

What is the rate in the following word problem:

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee.

• 4

• 30

• 34

• 26

Tags

CCSS.HSF-LE.A.1B

For babysitting, Nicole charges a flat fee of $5, plus $15 per hour. What information is given and what equation should you use?

• Two different items that add to a total are given; Ax + By = C

Tags

CCSS.8.EE.B.5

You took a standardized test on which all of the questions had to be answered. Your received 2 points for each correct answer but lost ½ point for each incorrect answer. Your score was 85 points. What information is given and what equation should you use?

• Two different items that add to a total are given; use Ax + By = C

Tags

CCSS.HSA.CED.A.3

You plant an apple tree that is 6 ft tall. Each year it grows 2 feet.

What information is given and what equation should you use?

• Two different items that add to a total are given; use Ax + By = C

Mr. P goes to the comic book store and purchases issues of Justice League and X - Men. Justice league comics are priced at $4.99 each, and X - Men comics are priced at $3.99 each. He spent $36.92.

What information is given and which equation should you use?

• Two different items that add to a total are given; use Ax + By = C

Tags

CCSS.8.EE.C.8C

Bob's Plumbing charges $55 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

Let x represent the hours worked and y represent to total charge.

• y = 55x + 40

• y = 40x + 55

• y = 55x

• y = 55x - 40

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation to represent the given situation.

• y = -0.5x + 34

• y = -34x + 0.5

• y - 34 = 0.5(x - 1)

• 34x - 0.5y = 33.5

Tags

CCSS.6.EE.C.9

Speedy Boat Rental charges a $15 deposit fee plus $20 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 20C + 15

• C = 15h + 20

• h = 15C + 20

• C = 20h + 15

Tags

CCSS.HSF-BF.A.1A

A car is driving down from the top of a Colorado mountain. The elevation at the top of the mountain is 13,500 feet. Every minute of driving, the car’s elevation decreases by 150 feet. Write an equation to represent the given situation.

• y = 150x + 13,500

• y = -150x + 13,500

• y - 13,500 = -(x - 150)

• 150x + 13,500y = 13,750

Tags

CCSS.6.EE.C.9

Presale tickets for a show cost $29 and tickets at the door cost $35. The venue made $1,565 on ticket sales.

Write an equation to represent the given situation.

• 29x + 35y = 1,565

• y = 35x + 29

• 1,565y = 29x + 35

• 29x + 1,565y = 35

Tags

CCSS.HSA.CED.A.3